Geodesic
Attraction for mechanical systems with friction
Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 500 (2021), pp. 102-106

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The asymptotic behavior of systems with Coulomb friction represented as Lagrange’s equations of the second kind is investigated. Lyapunov’s direct method is used in combination with the method of limiting equations, which goes back to the works by G.R. Sell (1967) and Z. Artstein (1977, 1978) on topological dynamics of nonautonomous systems. The results generalize LaSalle’s principle of invariance.
Keywords: Lyapunov’s functions, method of limiting equations, limiting differential inclusion, invariance principle, attraction, dry friction, Lagrange equation of the second kind. 
@article{DANMA_2021_500_a18,
     author = {I. A. Finogenko},
     title = {Attraction for mechanical systems with friction},
     journal = {Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleni\^a},
     pages = {102--106},
     publisher = {mathdoc},
     volume = {500},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DANMA_2021_500_a18/}
}
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I. A. Finogenko. Attraction for mechanical systems with friction. Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 500 (2021), pp. 102-106. http://geodesic.mathdoc.fr/item/DANMA_2021_500_a18/